It is well known that the Euclidean black hole action has a boundary term at the horizon proportional to the area. I show that if the horizon is replaced by a stretched horizon with appropriate boundary conditions, a new boundary term appears, described by a Schwarzian action similar to the recently discovered boundary actions in “nearly anti-de Sitter” gravity.

中文翻译：

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延伸的地平线上的施瓦茨人

众所周知，欧几里得黑洞作用在视界有一个与面积成正比的边界项。我表明，如果视界被具有适当边界条件的拉伸视界取代，则会出现一个新的边界项，由类似于最近发现的“近反德西特”重力中的边界作用的施瓦兹作用来描述。